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Finding the Fourth Proportional to 300,709.54, 414,964.45 and 164,744.16

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Solution

The fourth proportional to 300,709.54, 414,964.45 and 164,744.16 is: 227,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709.54 : 414,964.45 = 164,744.16 : x
  2. Step 2: Convert to fraction form
    300,709.54/414,964.45 = 164,744.16/x
  3. Step 3: Cross multiply
    300,709.54x = 414,964.45 × 164,744.16
  4. Step 4: Simplify right side
    300,709.54x = 68,362,969,745.11
  5. Step 5: Solve for x
    x = 68,362,969,745.11/300,709.54
  6. Step 6: Final answer
    x = 227,338.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.